2148667492608 has 1944 divisors, whose sum is σ = 8366175705888. Its totient is φ = 547796680704.

The previous prime is 2148667492607. The next prime is 2148667492613. The reversal of 2148667492608 is 8062947668412.

2148667492608 is a `hidden beast` number, since 2 + 1 + 4 + 86 + 6 + 7 + 492 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148667492603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22151211216 + ... + 22151211312.

Almost surely, 2^{2148667492608} is an apocalyptic number.

2148667492608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148667492608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183087852944).

2148667492608 is an abundant number, since it is smaller than the sum of its proper divisors (6217508213280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2148667492608 is an equidigital number, since it uses as much as digits as its factorization.

2148667492608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2148667492608 in words is "two trillion, one hundred forty-eight billion, six hundred sixty-seven million, four hundred ninety-two thousand, six hundred eight".